# -*- Mode: shell-script -*-
#############################################################################
##
#A  trans14.grp                  GAP group library           Alexander Hulpke
#A                                                              & John Conway
#A                                                              & Greg Butler
##
##
#Y  Copyright (C) 2018-2021, Carnegie Mellon University
#Y  All rights reserved.  See LICENSE for details.
#Y  
#Y  This work is based on GAP version 3, with some files from version 4.  GAP is
#Y  Copyright (C) (1987--2021) by the GAP Group (www.gap-system.org).
##
##  This file contains the transitive groups of degree 14.
##

TRANSGRP[14]:= [
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14),"C(14) = 7[x]2"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,12)(2,11)(3,10)(4,9)(5,8)(6,7)(13,14),"D_14(14) = [7]2"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),"D(7)[x]2"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,6)(2,5)(3,4)(7,14)(8,13)(9,12)(10,11),"2[1/2]F_42(7)"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"F_21(7)[x]2"],
[(3,10)(5,12)(6,13)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),"[2^3]7"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(1,9,11)(2,4,8)
(3,13,5)(6,12,10),(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"F_42(7)[x]2"],
[(2,4,6,8,10,12,14),(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),
"[7^2]2 = 7 wr 2"],
[(1,8)(2,9)(4,11),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),"[2^4]7"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(1,9,11)(2,4,8)
(3,13,5)(6,12,10),(1,8)(2,13)(3,10)(4,12)(5,11)(6,9),"L_7(14)"],
[(3,10)(5,12)(6,13)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14)
,(1,9,11)(2,4,8)(3,13,5)(6,12,10),"[2^3]F_21(7)"],
[(2,4,6,8,10,12,14),(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,6,13,8)(2,9,12,5)(3,4,11,10)(7,14),"1/2[D(7)^2]2"],
[(2,4,6,8,10,12,14),(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[1/2.D(7)^2]2"],
[(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[7^2:3]2"],
[(2,4,6,8,10,12,14),(1,11,9)(2,4,8)(3,5,13)(6,12,10),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[7^2:3_3]2"],
[(1,13,11,9,7,5,3)(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(2,4)(5,13)(6,12)(9,11),(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),
"L_7:2(14) = [L(7)_%]2"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,8)(2,13)(3,10)(4,12)(5,11)(6,9),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"2L_7(14) = [2]L(7)"]
,[(1,8)(2,9)(4,11),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),"[2^4]F_21(7)"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),(2,4)(5,13)(6,12)(9,11),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"L(7)[x]2"],
[(2,4,6,8,10,12,14),(2,12)(4,10)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[D(7)^2]2 = D(7) wr 2"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),"[2^6]7"],
[(2,4,6,8,10,12,14),(1,11,9)(2,4,8)(3,5,13)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,6,13,8)(2,9,12,5)(3,4,11,10)(7,14),"[1/6_-.F_42(7)^2]2_2"]
,[(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,6,13,8)(2,9,12,5)(3,4,11,10)(7,14),"[1/6_+.F_42(7)^2]2_2"]
,[(2,4,6,8,10,12,14),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[7^2:6]2"],
[(2,4,6,8,10,12,14),(1,11,9)(2,4,8)(3,5,13)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[7^2:6_3]2"],
[(2,4,6,8,10,12,14),(2,4,8)(6,12,10),
(1,8)(2,5)(3,4)(6,13)(7,14)(9,12)(10,11),"1/2[1/2.F_42(7)^2]2"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8)(7,14),"2^7[1/2]D(7)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),"[2^6]D(7)"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),"[2^7]7 = 2 wr 7"],
[(1,2,3,4,5,6,7,8,9,10,11,12,14),(1,4,3,12,9,10)(2,8,6,11,
 5,7),(1,12)(2,6)(3,4)(7,11)(9,10)(13,14),"L(14) = PSL(2,13)"],
[(2,4,6,8,10,12,14),(2,12)(4,10)(6,8),(1,11,9)(2,4,8)
(3,5,13)(6,12,10),(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[D(7)^2:3_3]2"],
[(2,4,6,8,10,12,14),(2,12)(4,10)(6,8),(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[D(7)^2:3]2"],
[(3,10)(5,12)(6,13)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14)
,(1,9,11)(2,4,8)(3,13,5)(6,12,10),(1,8)(2,11)(3,10)(4,9)(5,6)(12,13),
"2^3`L_7(14)"],
[(3,10)(5,12)(6,13)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(2,4)(5,13)(6,12)(9,11),"2^3:L_7(14) = [2^3]L(7) = [2^3]L(3,2)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),"[2^6]F_21(7)"],
[(2,4,6,8,10,12,14),(2,4,8)(6,12,10),(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,6,13,8)(2,9,12,5)(3,4,11,10)(7,14),"1/2[F_42(7)^2]2"],
[(2,4,6,8,10,12,14),(2,4,8)(6,12,10),(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[1/2.F_42(7)^2]2"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),"[2^7]D(7) = 2 wr D(7)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,14),(1,2,4,8,3,6,12,11,9,5,10,7),
(1,12)(2,6)(3,4)(7,11)(9,10)(13,14),"L(14):2 = PGL(2,13)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8)(7,14),"1/2[2^7]F_42(7)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),"[2^6]F_42(7)"],
[(1,8)(2,9)(4,11),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,8)(2,11)(3,10)(4,9)(5,6)(12,13),"2^4`L_7(14)"],
[(1,8)(2,9)(4,11),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),(2,4)(5,13)(6,12)(9,11),
"2^4:L_7(14) = [2^4]L(7)"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),"[2^7]F_21(7) = 2 wr F_21(7)"],
[(2,4,6,8,10,12,14),(2,4,8)(6,12,10),(2,12)(4,10)(6,8),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[F_42(7)^2]2 = F_42(7) wr 2"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(3,13,5)(6,12,10),
(1,8)(2,7)(3,10)(4,11)(5,12)(6,13)(9,14),"2[1/2]S(7)"],
[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(3,13,5)(6,12,10),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"2[x]A(7)"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),
(1,13)(2,12)(3,11)(4,10)(5,9)(6,8),"[2^7]F_42(7) = 2 wr F_42(7)" 
],[(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(3,5)(10,12),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"2[x]S(7)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(1,9,11)(2,4,8)(3,13,5)(6,12,10),(2,4)(5,13)(6,12)(9,11),"[2^6]L(7)"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),(1,9,11)
(2,4,8)(3,13,5)(6,12,10),(2,4)(5,13)(6,12)(9,11),"[2^7]L(7) = 2 wr L(7)"],
[(2,4,6,8,10,12,14),(2,4,8)(6,12,10),(2,4)(6,12),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[L(7)^2]2 = L(7) wr 2"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(3,13,5)(6,12,10),"[2^6]A(7)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(3,13,5)(6,12,10),(3,5)(7,14)(10,12),"1/2[2^7]S(7)"],
[(2,9)(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(3,13,5)(6,12,10),(3,5)(10,12),"[2^6]S(7)"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(3,13,5)(6,12,10),"[2^7]A(7) = 2 wr A(7)"],
[(7,14),(1,3,5,7,9,11,13)(2,4,6,8,10,12,14),
(3,13,5)(6,12,10),(3,5)(10,12),"[2^7]S(7)"],
[(2,4,6,8,10,12,14),(8,12,10),(1,8)(2,9)(3,10)(4,11)(5,12)
(6,13)(7,14),"[A(7)^2]2 = A(7) wr 2"],
[(2,4,6,8,10,12,14),(8,12,10),(2,14)(7,9),
(1,8)(2,9,14,7)(3,10)(4,11)(5,12)(6,13),"1/2[S(7)^2]2"],
[(2,4,6,8,10,12,14),(8,12,10),(2,14)(7,9),
(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),"[1/2.S(7)^2]2"],
[(2,4,6,8,10,12,14),(10,12),(1,8)(2,9)(3,10)(4,11)(5,12)
(6,13)(7,14),"[S(7)^2]2 = S(7) wr 2"],
[(1,13,14),(2,13,14),(3,13,14),(4,13,14),(5,13,14),(6,13,14),
(7,13,14),(8,13,14),(9,13,14),(10,13,14),(11,13,14),(12,13,14),"A(14)"],
[(1,14),(1,2),(2,3),(3,4),(4,5),(5,6),(6,7),(7,8),(8,9),(9,10),
(10,11),(11,12),(12,13),"S(14)"]];

TRANSPROPERTIES[14]:=
[[14,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[-5014,7],[-12014],[-25014]],
[14,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[-6007,-2014],[-12014],[-25014]],
[28,0,1,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[-5014,-7],[-14,5028],[-5014,9028]],
[42,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[-1021,-42,-7],[-3042,-14],[-7042,-1014]],
[42,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[-1042,7],[-3042,-14],[-7042,-1014]],
[56,0,1,1,[F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[7,2028],[14,5028],[1028,3056,5014]],
[84,0,1,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-1042,-7],[-14,1084],[-1042,28,2084]],
[98,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[-2014,-49],[-5014,-98],[-4014,-2098]],
[112,0,1,-1,[F,F,T,T,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[7,2028],[-14,5028],[-5014,4056],
[4,[1056,2007,3112,14028]]],
[168,0,1,1,[F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[7,84],[14,168],[56,84,168,1028]],
[168,0,1,1,[F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[7,84],[14,1084],[56,168,1028,1042]],
[196,0,1,1,[F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[49,2014],[-2028,-98],[-2098,-28,2014]],
[196,0,1,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[-2014,-49],[-98,2028],[-2098,-2014,28]],
[294,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-1042,-98],[-1014,-294,-42],
[4,[-1294,-1098,-1014,-147,-42]]],
[294,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[-49,-42],[-1042,-98],[-1014,-294,-42],
[4,[-1098,-1014,-294,-42,2147]]],
[336,0,1,-1,[F,F,F,T,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[-42,-21,28],[-42,56,84],[-42,-14,56,84,168]],
[336,0,1,-1,
[F,F,F,F,T,T,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[7,84],[-14,168],
[84,168,1056]],
[336,0,1,-1,[F,F,T,T,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,T,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],[7,84],
[-14,1084],[-1042,168,1056],
[4,[21,112,336,1056,4084]]],
[336,0,1,-1,[F,F,F,T,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-1042,7],[-14,1084],[-42,-14,56,84,168]],
[392,0,1,-1,
[F,F,T,F,F,T,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,T,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T],[-2014,-49],
[-2028,-98],[-2098,-2014,-28]],
[448,0,1,1,[F,T,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[7,2028],[14,5028],[4056,5014]],
[588,0,1,1,[F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F],
[42,49],[-98,-84],[-294,-28,42],
[4,[-2147,-294,-196,-28,42]]],
[588,0,1,1,[F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F],
[42,49],[-98,-84],[-294,-28,42],
[4,[-1294,-196,-28,42,147]]],
[588,0,1,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-98,84],[-294,-42,28],
[4,[-1294,-147,-42,28,196]]],
[588,0,1,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-98,84],[-294,-42,28],
[4,[-294,-42,28,196,2147]]],
[882,0,1,-1,[F,F,F,F,F,F,T,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,T,
F,F,F,F,F,F,T,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-1042,-98],[-1014,-294,-42],
[4,[-1098,-1014,-294,-42,441]]],
[896,0,1,-1,[F,T,F,T,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F],
[-2028,-7],[-14,2056],[112,2028,2056],
[29,[14],[1028],[1028],[1028]]],
[896,0,1,1,[F,T,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[-2028,-7],[14,2056],[112,2028,2056]],
[896,0,1,-1,[T,T,T,T,T,T,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[7,2028],[-14,5028],[-5014,4056],
[4,[2007,4112,14028]]],
[1092,1,2,1,[F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F],
[91],[182],[1182]],
[1176,0,1,-1,[F,F,T,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,T,F,T,
F,F,T,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-98,-84],[-294,-42,-28],
[4,[-2147,-294,-196,-42,-28]]],
[1176,0,1,-1,[F,F,T,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,T,T,T,
F,F,T,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T],
[-49,-42],[-98,-84],[-294,-42,-28],
[4,[-1294,-196,-147,-42,-28]]],
[1344,0,1,1,[F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,T,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F],[7,84],
[14,168],[56,84,224],[10149,[[12,1001],[96,5012]]]
],
[1344,0,1,1,[F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[7,84],[14,168],[84,224,1028]],
[1344,0,1,1,[F,T,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F],
[7,84],[14,1084],[168,1042,1056]],
[1764,0,1,1,[F,F,F,F,F,T,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,F,F,F,F,F,T,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F],
[42,49],[-98,-84],[-294,-28,42],
[4,[-441,-294,-196,-28,42]]],
[1764,0,1,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,T,T,
F,F,F,F,F,F,T,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-98,84],[-294,-42,28],
[4,[-294,-42,28,196,441]]],
[1792,0,1,-1,[T,T,T,T,T,T,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,T,F,F,F,F,F,F,F,F,
F,F,T,T,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-2028,-7],
[-14,2056],[112,2028,2056],
[29,[14],[56],[56],[56]]],
[2184,1,3,-1,[F,F,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T,T],
[91],[-182],[364],[4,[-273,-182,546]]],
[2688,0,1,-1,
[F,T,F,T,F,T,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,F,
F,F,F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F],[-84,-7],[-14,168],
[84,112,168],[29,[14],[1084]]],
[2688,0,1,1,[F,T,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,F],
[-84,-7],[14,168],[84,112,168]],
[2688,0,1,-1,[F,F,T,T,T,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,T,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,T,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,F,F,T,T,F,F,
F,T,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T],[7,84],[-14,168],
[56,84,224]],
[2688,0,1,-1,[F,F,T,T,T,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,T,T,F,F,F,T,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,T,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T],[7,84],
[-14,168],[56,84,224],[4,[21,84,336,448,1056]]],
[2688,0,1,-1,
[T,T,T,T,T,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,T,F,F,F,F,F,F,
F,F,T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T],[7,84],[-14,1084],
[-1042,168,1056],[4,[21,336,1112,4084]]],
[3528,0,1,-1,
[F,F,T,F,F,T,T,F,F,F,
F,F,F,T,F,F,T,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,T,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,T,T,T,F,F,T,F,
F,F,T,F,F,F,F,F,T,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,T],[-49,-42],[-98,-84],[-294,-42,-28],
[4,[-441,-294,-196,-42,-28]]],
[5040,0,1,-1,[F,F,F,T,F,F,T,F,
F,F,F,F,F,T,F,F,F,T,
F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F],[-42,-7,42],
[-14,1084],[-210,-70,84]],
[5040,0,1,-1,[F,F,F,T,F,F,T,F,
F,F,F,F,F,T,F,F,F,T,
F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,T],[-1042,7],
[-14,1084],[-210,-70,84]],
[5376,0,1,-1,[T,T,T,T,T,T,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,T,F,F,F,F,T,
T,F,F,F,F,F,F,F,F,
F,F,T,T,F,F,F,T,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,T,F,F,F,F,F,
F,F,F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,T,F,T],[-84,-7],[-14,168],
[84,112,168],[29,[14],[168]]],
[10080,0,1,-1,[F,T,F,T,F,T,T,F,
F,F,F,F,F,T,F,T,F,T,
F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,T,T,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
T,F,F,F,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,T],[-1042,-7],[-14,1084],
[-210,-70,84]],
[10752,0,1,1,[F,T,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,F,T,
F,T,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T,F,F,
F,T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[7,84],[14,168],
[56,84,224],[10149,[[12,1001],[24,96,3012]]]],
[21504,0,1,-1,
[T,T,T,T,T,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T,T,F,F,T,T,T,T,F,
F,F,F,F,F,F,F,T,T,T,
T,F,F,F,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,T,F,F,F,F,F,F,F,F,
T,T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,F,T,
T,F,F,F,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],[7,84],
[-14,168],[56,84,224],[4,[21,84,112,336,448]]],
[56448,0,1,-1,
[F,T,F,T,F,F,T,F,F,F,
F,F,F,T,F,T,F,F,F,F,
F,T,F,F,T,F,T,F,F,F,
F,F,F,F,T,F,F,F,F,T,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,T,T,F,T,F,F,F,
F,T,F,T,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T],[-49,-42],[-98,84],[-294,-14,56]],
[161280,0,1,1,
[F,T,F,T,F,T,F,F,F,F,
F,F,F,T,F,T,F,T,F,F,
F,T,F,F,F,F,T,F,T,F,
F,F,F,F,F,F,F,T,F,T,
F,F,F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T,F,F,
F,T,F,T,F,F,F,F,F,T,
F,F,T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,F,T,
F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F],
[7,84],[14,168],[84,280]],
[322560,0,1,-1,[F,T,T,T,T,T,T,F,
F,F,F,F,F,T,F,T,T,T,
F,F,F,T,F,T,F,T,T,T,
T,F,F,F,F,T,F,T,F,T,
T,T,T,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,T,F,T,T,T,T,F,F,F,
F,T,F,T,T,F,T,F,F,F,
T,T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,T,F,T,
T,F,F,T,T,F,F,F,F,F,
F,F,F,F,F,F,T,T,F,F,
F,F,F,T,F,F,F],[-84,-7],
[-14,168],[84,280],[22,[7],[84]]],
[322560,0,1,1,[F,T,F,T,F,T,F,F,
F,F,F,F,F,T,F,T,F,T,
F,F,F,T,F,F,T,F,T,F,
T,F,F,F,F,F,T,F,F,T,
F,T,F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,F,F,T,F,T,F,F,F,F,
F,T,T,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,T,
F,T,F,F,F,T,F,F,T,F,
F,F,F,F,F,F,F,T,F,
F,T,F,F,F,F,T,F,F],
[-84,-7],[14,168],[84,280]],
[322560,0,1,-1,[T,T,T,T,T,T,T,F,
F,F,F,F,F,T,T,T,T,T,
F,F,F,T,T,F,F,T,T,T,
T,F,F,F,F,F,F,T,F,T,
T,T,T,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,T,T,
F,F,T,T,T,T,T,F,F,F,
T,T,F,F,T,F,T,F,F,F,
T,T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,F,T,
T,F,F,F,T,T,F,F,F,F,
F,F,F,F,F,T,T,T,F,F,
F,F,F,F,F,F,T],[7,84],
[-14,168],[84,280]],
[645120,0,1,-1,[T,T,T,T,T,T,T,F,
F,F,F,F,F,T,T,T,T,T,
F,F,F,T,T,T,T,T,T,T,
T,F,F,F,F,T,T,T,F,T,
T,T,T,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,T,T,
F,T,T,T,T,T,T,F,F,F,
T,T,T,T,T,F,T,F,F,F,
T,T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,T,T,T,
T,F,F,T,T,T,F,T,F,F,
F,F,F,F,F,T,T,T,F,T,
F,F,F,T,T,F,T],[-84,-7],
[-14,168],[84,280],[22,[-7],[-84]]],
[12700800,0,1,-1,
[F,T,F,T,F,F,T,T,F,T,
F,T,F,T,F,T,F,T,T,F,
T,T,F,F,T,F,T,F,F,F,
T,F,T,F,T,F,F,F,F,T,
T,F,F,F,F,F,T,F,T,F,
F,T,F,T,F,T,F,F,F,T,
F,F,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,T,T,F,T,F,T,F,T,T,
F,T,F,T,F,F,T,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,T],
[-49,-42],[-98,84],[-294,-70],[29,[1042],[1049]]],
[25401600,0,1,1,
[F,T,F,T,F,T,F,T,F,T,
F,T,F,T,F,T,F,T,T,F,
T,T,F,F,T,F,T,F,T,F,
T,F,T,F,T,F,F,T,F,T,
F,T,F,T,F,T,T,F,T,F,
T,T,F,T,F,T,F,F,F,T,
F,F,T,F,T,F,T,F,F,F,
T,F,T,F,F,T,F,F,F,T,
F,T,T,F,F,T,F,T,F,T,
F,T,F,T,F,T,T,F,T,F,
T,F,F,T,F,F,F,T,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,T,F,F],[42,49],
[-98,-84],[-294,-70]],
[25401600,0,1,-1,[F,T,F,T,F,T,T,T,
F,T,F,T,F,T,F,T,F,T,
T,F,T,T,F,F,T,F,T,F,
F,F,T,F,T,F,T,F,F,T,
F,T,T,T,F,T,F,F,T,F,
T,F,T,T,F,T,F,T,F,F,
F,T,F,F,T,F,T,F,T,F,
F,F,T,F,T,T,F,T,F,F,
F,T,F,F,T,T,F,T,F,T,
T,T,F,T,F,T,F,T,T,F,
T,F,T,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,T],
[-49,-42],[-98,84],[-294,-70],[29,[-1042],[1049]]],
[50803200,0,1,-1,
[T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
F,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
F,T,T,T,T,T,T,T,T,T,T,
T,T,F,T,T,T,T,T,F,T,T,
T,F,F,T,T,T,T,T,T,T,T,
T,F,T,T,T,T,T,T,T,F,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,F,F,F,T,F,
F,F,F,T,F,T,F,F,F,F,
F,F,F,F,F,T,F,T,F,F,
F,F,T,F,T],[-49,-42],[-98,-84],
[-294,-70]],
[43589145600,1,12,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,F,T,F,
T,T,F,T,T,F,F,T,F,T,
F,T,F,T,F,T,F,T,F,F,
T,F,T,F,T,F,T,F,T,T,
F,T,F,T,T,F,T,F,T,F,
T,F,T,F,F,T,T,T,F,T,
T,F,F,T,F,T,F,F,T,F,
F,T,T,F,T,T,F,F,T,F,
T,F,T,F,T,F,T,F,T,T,
F,T,F,T,F,F,T,F,T,F,
T,F,T,F,T,F,F,T,T,F,
T,T,F,F,T,F,T,F,F,T,
T,F,T,F,T,T,F],[91],[182],
[364]],
[87178291200,1,14,-1,[T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T],[91],[-182],[364],
[4,[1001]]]];

